(* Advanced forward lemmas **************************************************)
lemma lsx_fwd_bind_dx: ∀h,g,a,I,G,L,V,T,l. G ⊢ ⬊*[h, g, ⓑ{a,I}V.T, l] L →
- G â\8a¢ â¬\8a*[h, g, T, ⫯l] L.ⓑ{I}V.
+ G â\8a¢ â¬\8a*[h, g, T, â\86\91l] L.ⓑ{I}V.
#h #g #a #I #G #L #V1 #T #l #H @(lsx_ind … H) -L
#L1 #_ #IHL1 @lsx_intro
#Y #H #HT elim (lpx_inv_pair1 … H) -H
(* Advanced inversion lemmas ************************************************)
lemma lsx_inv_bind: ∀h,g,a,I,G,L,V,T,l. G ⊢ ⬊*[h, g, ⓑ{a, I}V.T, l] L →
- G â\8a¢ â¬\8a*[h, g, V, l] L â\88§ G â\8a¢ â¬\8a*[h, g, T, ⫯l] L.ⓑ{I}V.
+ G â\8a¢ â¬\8a*[h, g, V, l] L â\88§ G â\8a¢ â¬\8a*[h, g, T, â\86\91l] L.ⓑ{I}V.
/3 width=4 by lsx_fwd_bind_sn, lsx_fwd_bind_dx, conj/ qed-.